Error Bounds for the Difference of Two Convex Multifunctions |
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Authors: | Hui Huang Runxin Li |
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Institution: | 1. Department of Mathematics, Yunnan University, Kunming, 650091, People’s Republic of China 2. Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650091, People’s Republic of China
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Abstract: | In this paper, we consider error bounds for DC multifunctions (difference of two convex multifunctions) with/without set constraints. We give some Robinson-Ursescu type results in Banach spaces. Using some techniques of convex analysis, we present some results on the existence of error bounds in terms of normal cone and coderivative. |
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